How do I find the value of csc 5pi / 6? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer sankarankalyanam Mar 17, 2018 #color(blue)(csc ((5pi)/6) = csc 150 = csc 30 = 2# Explanation: #csc ((5pi)/6)# falls in II Quadrant where in only #sin , csc# are positive. #csc ((5pi)/6) = csc (pi - ((5pi)/6) ) = csc (pi/6)# But #color(purple)(csc (pi/6) = 1 / sin (pi/6) = 1/ sin 30 = 1 / (1/2) = 2# Answer link Related questions How do you find the trigonometric functions of any angle? What is the reference angle? How do you use the ordered pairs on a unit circle to evaluate a trigonometric function of any angle? What is the reference angle for #140^\circ#? How do you find the value of #cot 300^@#? What is the value of #sin -45^@#? How do you find the trigonometric functions of values that are greater than #360^@#? How do you use the reference angles to find #sin210cos330-tan 135#? How do you know if #sin 30 = sin 150#? How do you show that #(costheta)(sectheta) = 1# if #theta=pi/4#? See all questions in Trigonometric Functions of Any Angle Impact of this question 45719 views around the world You can reuse this answer Creative Commons License